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Scaling arguments and precise simulations are used to study the square lattice $\pm J$ Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our numerical results show, entropically-stabilized long range…

无序系统与神经网络 · 物理学 2011-07-21 Creighton K. Thomas , David A. Huse , A. Alan Middleton

The thermodynamics of the infinite-range Ising spin glass with p-spin interactions in the presence of an external magnetic field h is investigated analytically using the replica method. We give emphasis to the analysis of the transition…

统计力学 · 物理学 2009-10-31 Viviane M de Oliveira , J F Fontanari

Glassy systems are disordered systems characterized by extremely slow dynamics. Examples are supercooled liquids, whose dynamics slow down under cooling. The specific pattern of slowing-down depends on the material considered. This…

无序系统与神经网络 · 物理学 2016-04-12 Le Yan

The low temperature dynamics of the two- and three-dimensional Ising spin glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the…

凝聚态物理 · 物理学 2009-10-28 J. Kisker , L. Santen , M. Schreckenberg , H. Rieger

We show that the competition between interactions on different length scales, as relevant for the formation of stripes in doped Mott insulators, can cause a glass transition in a system with no explicitly quenched disorder. We analytically…

无序系统与神经网络 · 物理学 2009-11-07 Harry Westfahl , Joerg Schmalian , Peter G. Wolynes

Mean field spin glass models have undergone substantial mathematical development, but finite dimensional short range spin glasses remain much less understood. This paper proves several rigorous zero temperature signatures of glassy behavior…

数学物理 · 物理学 2026-05-05 Sourav Chatterjee

We studied phase separation in a particle interacting system under a large drive along x. We here identify the basic growth mechanisms, and demonstrate time self-similarity, finite-size scaling, as well as other interesting features of both…

统计力学 · 物理学 2009-11-07 Pablo I. Hurtado , J. Marro , E. V. Albano

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

统计力学 · 物理学 2009-10-30 M. E. J. Newman , Cristopher Moore

Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar…

无序系统与神经网络 · 物理学 2019-08-28 Tushar Kanti Bose , Roderich Moessner , Arnab Sen

This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and…

无序系统与神经网络 · 物理学 2009-11-10 Leticia F. Cugliandolo

The global phase diagram of the Ashkin-Teller spin glass is calculated in d = 3 spatial dimensions by renormalization-group theory. Depending on the value of the positive or negative four-spin interaction, qualitatively different topologies…

无序系统与神经网络 · 物理学 2025-07-08 Alican Saray , A. Nihat Berker

The effect of the anisotropy in the exchange interaction on the phase diagrams and magnetization behavior of the Heisenberg thin film has been investigated with effective field formulation in a two spin cluster using the decoupling…

统计力学 · 物理学 2015-06-17 Ümit Akıncı

We study the statistical mechanics and the equilibrium dynamics of a system of classical Heisenberg spins with frustrated interactions on a $d$-dimensional simple hypercubic lattice, in the limit of infinite dimensionality $d \to \infty$.…

无序系统与神经网络 · 物理学 2024-04-25 Achille Mauri , Mikhail I. Katsnelson

Spin glasses are magnetic materials exhibiting numerous magnetization patterns, that randomly vary both in real space and in time. To date, it is still not well understood what the nature of these spatiotemporal dynamics is, namely if they…

材料科学 · 物理学 2024-12-23 L. Niggli , J. H. Strik , Z. Liu , A. Bergman , M. I. Katsnelson , D. Wegner , A. A. Khajetoorians

We study the Heisenberg spin glass by large-scale Monte Carlo simulations for sizes up to 32^3, down to temperatures below the transition temperature claimed in earlier work. The data for the larger sizes show more marginal behavior than…

无序系统与神经网络 · 物理学 2009-11-13 L. W. Lee , A. P. Young

We study the three-dimensional quantum Ising spin glass in a transverse magnetic field following the evolution of the bond probability distribution under Renormalisation Group transformations. The phase diagram (critical temperature $T_c$…

凝聚态物理 · 物理学 2009-10-22 Beatriz Boechat , Raimundo R. dos Santos , M. A. Continentino

We numerically study out-of-equilibrium dynamics in a family of Heisenberg models with $1/r^6$ power-law interactions and positional disorder. Using the semi-classical discrete truncated Wigner approximation (dTWA) method, we investigate…

We study the behavior of droplets for two dimensional Ising spin glasses with Gaussian interactions. We use an exact matching algorithm which enables study of systems with linear dimension L up to 240, which is larger than is possible with…

无序系统与神经网络 · 物理学 2009-11-10 A. K. Hartmann , M. A. Moore

Torque, torque relaxation, and magnetization measurements on a AuFe spin glass sample are reported. The experiments carried out up to 7 T show a transverse irreversibility line in the (H,T) plane up to high applied fields, and a distinct…

无序系统与神经网络 · 物理学 2009-10-31 D. Petit , L. Fruchter , I. A. Campbell

We introduce a lattice spin model where frustration is due to multibody interactions rather than quenched disorder in the Hamiltonian. The system has a crystalline ground state and below the melting temperature displays a dynamic behaviour…

统计力学 · 物理学 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas Grigera